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ON APPROXIMATION AND GENERALIZED TYPE OF ANALYTIC FUNCTIONS OF SEVERAL COMPLEX VARIABLES

ON APPROXIMATION AND GENERALIZED TYPE OF ANALYTIC FUNCTIONS OF SEVERAL COMPLEX VARIABLES
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摘要 In the present paper, we study the polynomial approximation of analytic functions of several complex variables. The characterizations of generalized type of analytic functions of several complex variables have been obtained in terms of approximation and interpolation errors. In the present paper, we study the polynomial approximation of analytic functions of several complex variables. The characterizations of generalized type of analytic functions of several complex variables have been obtained in terms of approximation and interpolation errors.
作者 G. S. Srivastava Susheel Kumar
机构地区 Indian Institute of Technology Roorkee Central University of Himachal Pradesh
出处 《Analysis in Theory and Applications》 2011年第2期101-108,共8页 分析理论与应用（英文刊）
关键词 analytic function Siciak extremal function generalized type approximationerrors imterpolation errors analytic function, Siciak extremal function, generalized type, approximationerrors, imterpolation errors
分类号 O174.5 [理学—基础数学]
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参考文献5

  • 1Janik, A., A Characterization of the Growth of Analytic Functions by Means of Polynomial Approximation, Univ. Iagel. Acta Math., 24 (1984), 295-319.
  • 2Janik, A., On Approximation of Analytic Functions and Generalized Order, Ann. Polon. Math., 55 (1991), 163-167.
  • 3Seremeta, M. N., On the Connection Between the Growth of a Function Analytic in a Disc and Modulie of its Taylor Series, Visnik L'viv. Derzh. Univ. Ser. Mekh. Mat., 2 (1965), 101-110.
  • 4Seremeta, M. N., On the Connection Between the Growth of the Maximum Modulus of an Entire Function and the Moduli of the Coefficients of its Power Series Expansion, Amer. Math. Soc. Transl., 88:2 (1970), 291-301.
  • 5Winiarski, T., Application of Approximation and,Interpolation Methods to the Examination of Entire Functions of Complex Variables, Ann. Pol. Math., 28 (1973), 97-121.
Analysis in Theory and Applications
2011年 第2期

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